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Math Help - Volume Problem

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    Volume Problem

    A cone with a base of radius r and height H is cut by a plane parallel to and h units above the base. Find the volume of the solid (frustrum of a cone) below the plane.
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    Quote Originally Posted by kaiser0792 View Post
    A cone with a base of radius r and height H is cut by a plane parallel to and h units above the base. Find the volume of the solid (frustrum of a cone) below the plane.
    I assume since you posted this in the calculus section, you're looking for a solution involving a volume of revolution.

    consider the line y = \frac{r}{H} x rotated about the x-axis from x = h to x = H

    V = \pi \int_h^H \left(\frac{r}{H} x\right)^2 \, dx<br />
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